The distance of the point (3, 4, 5) from Y-axis is____________

Options

A. 3
B. 5
C. `sqrt(34)`
D. `sqrt(41)`

Answer

To find the distance of the point (3, 4, 5) from the Y-axis, we can use the formula for the distance from a point in 3D space to the Y-axis. The formula states that the distance \( D \) from a point \( (x, y, z) \) to the Y-axis is given by:

\[ D = \sqrt{x^2 + z^2} \]

Here, the coordinates of the point are \( (3, 4, 5) \), where:
- \( x = 3 \)
- \( y = 4 \) (not needed for this calculation)
- \( z = 5 \)

Now, we can substitute the values of \( x \) and \( z \) into the formula:

1. **Substituting the values:**
\[ D = \sqrt{3^2 + 5^2} \]

2. **Calculating \( 3^2 \) and \( 5^2 \):**
\[ 3^2 = 9 \quad \text{and} \quad 5^2 = 25 \]

3. **Adding the squares:**
\[ D = \sqrt{9 + 25} = \sqrt{34} \]

Thus, the distance of the point (3, 4, 5) from the Y-axis is:

\[ \sqrt{34} \]